Quantum field approach to a low-density electron system

The semiclassical approach to an interacting electron system with low density is replaced by a fully quantum mechanical discussion. The energies of the ground state and the low lying excited states are calculated according to the methods of quantum field theory. A comparison is made with the results of the existing approach. The effect of a magnetic field on the low lying states of the electron system is calculated in a self-consistent way. The low density electron system does not show a Meissner-Ochsenfeld effect.